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GCD of 522, 906, 272, 628 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 522, 906, 272, 628 quickly. Get the easiest ways to solve the greatest common divisor of 522, 906, 272, 628 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 522, 906, 272, 628 with Factoring?

Given Input numbers are 522, 906, 272, 628

In the factoring method, we have to find the divisors of all numbers

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628


GCD of numbers is the greatest common divisor

So, the GCD (522, 906, 272, 628) = 2.

Find GCD of 522, 906, 272, 628 using Prime Factorization

Given numbers are 522, 906, 272, 628

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 906 are 2 x 3 x 151

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 21

Therefore, GCD of 522, 906, 272, 628 is 2.

Steps to Calculate GCD of 522, 906, 272, 628 using LCM Formula

Given numbers are 522, 906, 272, 628

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(522, 906) = 78822

GCD(522, 906) = ( 522 x 906 ) / 78822

= 522 / 906

= 522


Step2:

LCM(6, 272) = 816

GCD(6, 272) = ( 6 x 272 ) / 816

= 6 / 272

= 6


Step3:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2


So, Greatest Common Divisor of 522, 906, 272, 628 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 522, 906, 272, 628

Given numbers are 522, 906, 272, 628
The greatest common divisor of numbers 522, 906, 272, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 906, 272, 628 is 2.

FAQs on GCD of 522, 906, 272, 628 Calculator

1. What is the GCD of 522, 906, 272, 628?

GCD of given numbers 522, 906, 272, 628 is 2


2. How to calculate the greatest common divisor of 522, 906, 272, 628?

We can find the highest common divisor of 522, 906, 272, 628 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 522, 906, 272, 628 i.e 2.


3. How can I use the GCD of 522, 906, 272, 628Calculator?

Out the numbers 522, 906, 272, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.